Finding the Third Proportional to 31,768 and 42,467

Step by Step Solution

1. Step 1: Write the proportion equation
   31,768 : 42,467 = 42,467 : x
2. Step 2: Convert to fraction form
   31,768/42,467 = 42,467/x
3. Step 3: Cross multiply
   31,768x = 42,467 × 42,467
4. Step 4: Simplify right side
   31,768x = 1,803,446,089
5. Step 5: Solve for x
   x = 1,803,446,089/31,768
6. Step 6: Final answer
   x = 56,769.27